Search Results - "Bandyopadhyay, Antar"
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Counting without sampling: Asymptotics of the log-partition function for certain statistical physics models
Published in Random structures & algorithms (01-12-2008)“…In this article we propose new methods for computing the asymptotic value for the logarithm of the partition function (free energy) for certain statistical…”
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A new approach to Pólya urn schemes and its infinite color generalization
Published in The Annals of applied probability (01-02-2022)“…In this work, we introduce a generalization of the classical Pólya urn scheme (Ann. Inst. Henri Poincaré 1 (1930) 117–161) with colors indexed by a Polish…”
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Pólya urn schemes with infinitely many colors
Published in Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability (01-11-2017)Get full text
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Right-most position of a last progeny modified time inhomogeneous branching random walk
Published in Statistics & probability letters (01-02-2023)“…In this work, we consider a modification of the time inhomogeneous branching random walk, where the driving increment distribution changes over time…”
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Linear de-preferential urn models
Published in Advances in applied probability (01-12-2018)“…In this paper we consider a new type of urn scheme, where the selection probabilities are proportional to a weight function, which is linear but decreasing in…”
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Pólya urn schemes with infinitely many colors
Published in Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability (01-11-2018)“…In this work, we introduce a class of balanced urn schemes with infinitely many colors indexed by ℤd, where the replacement schemes are given by the transition…”
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Strong convergence of infinite color balanced urns under uniform ergodicity
Published in Journal of applied probability (01-09-2020)“…We consider the generalization of the Pólya urn scheme with possibly infinitely many colors, as introduced in [37], [4], [5], and [6]. For countably many…”
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Rate of convergence and large deviation for the infinite color Pólya urn schemes
Published in Statistics & probability letters (01-09-2014)“…In this work we consider the infinite color urn model associated with a bounded increment random walk on Zd. This model was first introduced in Bandyopadhyay…”
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SLLN and annealed CLT for random walks in I.I.D. random environment on Cayley trees
Published in Stochastic processes and their applications (01-04-2022)“…We consider the random walk in an independent and identically distributed (i.i.d.) random environment on a Cayley graph of a finite free product of copies of Z…”
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ON THE EXPECTED TOTAL NUMBER OF INFECTIONS FOR VIRUS SPREAD ON A FINITE NETWORK
Published in The Annals of applied probability (01-04-2015)“…In this work we consider a simple SIR infection spread model on a finite population of n agents represented by a finite graph G. Starting with a fixed set of…”
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On the Nearest-Neighbor Algorithm for the Mean-Field Traveling Salesman Problem
Published in Journal of applied probability (01-03-2014)“…In this work we consider the mean-field traveling salesman problem, where the intercity distances are taken to be independent and identically distributed with…”
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On the Nearest-Neighbor Algorithm for the Mean-Field Traveling Salesman Problem
Published in Journal of applied probability (01-03-2014)“…In this work we consider the mean-field traveling salesman problem , where the intercity distances are taken to be independent and identically distributed with…”
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On the Nearest-Neighbor Algorithm for the Mean-Field Traveling Salesman Problem
Published in Journal of applied probability (01-03-2014)“…In this work we consider the mean-field traveling salesman problem , where the intercity distances are taken to be independent and identically distributed with…”
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The connectivity threshold of random geometric graphs with Cantor distributed vertices
Published in Statistics & probability letters (01-12-2012)“…For the connectivity of random geometric graphs, where there is no density for the underlying distribution of the vertices, we consider n i.i.d. Cantor…”
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Variance estimation for tree-order restricted models
Published in Statistics (Berlin, DDR) (03-09-2014)“…In this article, we discuss the estimation of the common variance of several normal populations with tree-order restricted means. We discuss the asymptotic…”
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Random walks in I.I.D. random environment on Cayley trees
Published in Statistics & probability letters (01-09-2014)“…We consider the random walk in an i.i.d. random environment on the infinite d-regular tree for d≥3. We consider the tree as a Cayley graph of the free product…”
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A Survey of Max-Type Recursive Distributional Equations
Published in The Annals of applied probability (01-05-2005)“…In certain problems in a variety of applied probability settings (from probabilistic analysis of algorithms to statistical physics), the central requirement is…”
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A Necessary and Sufficient Condition for the Tail-Triviality of a Recursive Tree Process
Published in Sankhyā (2003) (01-02-2006)“…Given a recursive distributional equation (RDE) and a solution μ of it, we consider the tree indexed invariant process called the recursive tree process (RTP)…”
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Right-Most Position of a Last Progeny Modified Time Inhomogeneous Branching Random Walk
Published 09-10-2021“…Statistics & Probability Letters, 193: Paper No. 109697 (2023), 1-8 In this work, we consider a modification of time \emph{inhomogeneous} branching random…”
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Right-Most Position of a Last Progeny Modified Branching Random Walk
Published 05-06-2021“…In this work, we consider a modification of the usual Branching Random Walk (BRW), where we give certain independent and identically distributed (i.i.d.)…”
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